We consider time-discrete evolutions for a phase field model (for fracture and damage) obtained by alternate minimization schemes. First, we characterize their time-continuous limit in terms of parametrized $BV$-evolutions, introducing a suitable family of ``intrinsic energy norms''. Further, we show that the limit evolution satisfies Griffith's criterion, for a phase field energy release, and that the irreversibility constraint is thermodynamically consistent.
Convergence of alternate minimization schemes for phase field fracture and damage
NEGRI, MATTEO
;
2017-01-01
Abstract
We consider time-discrete evolutions for a phase field model (for fracture and damage) obtained by alternate minimization schemes. First, we characterize their time-continuous limit in terms of parametrized $BV$-evolutions, introducing a suitable family of ``intrinsic energy norms''. Further, we show that the limit evolution satisfies Griffith's criterion, for a phase field energy release, and that the irreversibility constraint is thermodynamically consistent.File in questo prodotto:
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